If `A=[[1,2,3],[4,5,6],[7,1,0]], B=[[1,0,0],[0,3,0],[0,4,5]], Tr(BA)=`

If A=[[9,-8,7],[-6,5,-4],[3,-2,1]] and B=[[1,0,0],[0,1,0],[0,0,1]] then find AB and BA.

Find products : [[1,2,3],[4,5,6],[7,8,9]][[0,0,0],[0,0,0],[0,0,0]]

If A=[[0,0,1],[0,1,0],[1,0,0]],B=[[0,5,7],[0,0,6],[0,0,0]] and C=[[-1,3,5],[1,-3,-5],[-1,3,5]] , show that B^4=O

If A=[[0,0,1],[0,1,0],[1,0,0]],B=[[0,5,7],[0,0,6],[0,0,0]] and C=[[-1,3,5],[1,-3,-5],[-1,3,5]] , show that A^2=I

If A=[[0,0,1],[0,1,0],[1,0,0]],B=[[0,5,7],[0,0,6],[0,0,0]] and C=[[-1,3,5],[1,-3,-5],[-1,3,5]] , show that C^2=C

If A=[[0,0,1],[0,1,0],[1,0,0]],B=[[0,5,7],[0,0,6],[0,0,0]] and C=[[-1,3,5],[1,-3,-5],[-1,3,5]] , show that A^2=I

If A=[[0,0,1],[0,1,0],[1,0,0]],B=[[0,5,7],[0,0,6],[0,0,0]] and C=[[-1,3,5],[1,-3,-5],[-1,3,5]] , show that C^2=C

If A=[[1,0,5],[3,2,7],[5,4,8]],B=[[3,1,2],[9,0,-6],[7,4,1]],C=[[2,0,-1],[7,5,6],[1,1,4]] , verify that A+(B+C)=(A+B)+C

If A=[[1,-2,3],[-4,2,5]] , B=[[1,3],[-1,0],[2,4]] then verify that (AB)'=B'A'

If A=[[1,-2,3],[-4,2,5]] & B=[[1,3],[-1,0],[2,4]] then verify that (AB)'=B'A'